A Compendium Of Partial Differential Equation Models
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A Compendium Of Partial Differential Equation Models
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Author : William E. Schiesser
language : en
Publisher: Cambridge University Press
Release Date : 2009-03-16
A Compendium Of Partial Differential Equation Models written by William E. Schiesser and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-16 with Computers categories.
Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.
A Compendium Of Partial Differential Equation Models
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Author : William E. Schiesser
language : en
Publisher:
Release Date : 2009
A Compendium Of Partial Differential Equation Models written by William E. Schiesser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Differential equations, Partial categories.
Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.
A Compendium Of Partial Differential Equation Models
DOWNLOAD
Author : William E. Schiesser
language : en
Publisher: Cambridge University Press
Release Date : 2009-03-16
A Compendium Of Partial Differential Equation Models written by William E. Schiesser and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-16 with Mathematics categories.
Mathematical modelling of physical and chemical systems is used extensively throughout science, engineering, and applied mathematics. To use mathematical models, one needs solutions to the model equations; this generally requires numerical methods. This book presents numerical methods and associated computer code in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs). The authors focus on the method of lines (MOL), a well-established procedure for all major classes of PDEs, where the boundary value partial derivatives are approximated algebraically by finite differences. This reduces the PDEs to ordinary differential equations (ODEs) and makes the computer code easy to understand, implement, and modify. Also, the ODEs (via MOL) can be combined with any other ODEs that are part of the model (so that MOL naturally accommodates ODE/PDE models). This book uniquely includes a detailed line-by-line discussion of computer code related to the associated PDE model.
Handbook Of Linear Partial Differential Equations For Engineers And Scientists
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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2015-12-23
Handbook Of Linear Partial Differential Equations For Engineers And Scientists written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-23 with Mathematics categories.
This second edition contains nearly 4,000 linear partial differential equations (PDEs) with solutions as well as analytical, symbolic, and numerical methods for solving linear equations. First-, second-, third-, fourth-, and higher-order linear equations and systems of coupled equations are considered. Equations of parabolic, mixed, and other types are discussed. New linear equations, exact solutions, transformations, and methods are described. Formulas for effective construction of solutions are given. Boundary value and eigenvalue problems are addressed. Symbolic and numerical methods for solving PDEs with Maple, Mathematica, and MATLAB are explored.
Pde Models For Atherosclerosis Computer Implementation In R
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Author : William E. Schiesser
language : en
Publisher: Springer Nature
Release Date : 2022-06-01
Pde Models For Atherosclerosis Computer Implementation In R written by William E. Schiesser and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Mathematics categories.
Atherosclerosis is a pathological condition of the arteries in which plaque buildup and stiffening (hardening) can lead to stroke, myocardial infarction (heart attacks), and even death. Cholesterol in the blood is a key marker for atherosclerosis, with two forms: (1) LDL - low density lipoproteins and (2) HDL - high density lipoproteins. Low LDL and high HDL concentrations are generally considered essential for limited atherosclerosis and good health. This book pertains to a mathematical model for the spatiotemporal distribution of LDL and HDL in the arterial endothelial inner layer (EIL, intima). The model consists of a system of six partial differential equations (PDEs) with the dependent variables 1. (,): concentration of modified LDL 2. h(,): concentration of HDL 3. (,): concentration of chemoattractants 4. (,): concentration of ES cytokines 5. (,): density of monocytes/macrophages 6. (,): density of foam cells and independent variables 1. : distance from the inner arterial wall 2. : time The focus of this book is a discussion of the methodology for placing the model on modest computers for study of the numerical solutions. The foam cell density (,) as a function of the bloodstream LDL and HDL concentrations is of particular interest as a precursor for arterial plaque formation and stiffening. The numerical algorithm for the solution of the model PDEs is the method of lines (MOL), a general procedure for the computer-based numerical solution of PDEs. The MOL coding (programming) is in R, a quality, open-source scientific computing system that is readily available from the Internet. The R routines for the PDE model are discussed in detail, and are available from a download link so that the reader/analyst/researcher can execute the model to duplicate the solutions reported in the book, then experiment with the model, for example, by changing the parameters (constants) and extending the model with additional equations. /div/div
Advanced Contemporary Control
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Author : Andrzej Bartoszewicz
language : en
Publisher: Springer Nature
Release Date : 2020-06-24
Advanced Contemporary Control written by Andrzej Bartoszewicz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-24 with Technology & Engineering categories.
This book presents the proceedings of the 20th Polish Control Conference. A triennial event that was first held in 1958, the conference successfully combines its long tradition with a modern approach to shed light on problems in control engineering, automation, robotics and a wide range of applications in these disciplines. The book presents new theoretical results concerning the steering of dynamical systems, as well as industrial case studies and worked solutions to real-world problems in contemporary engineering. It particularly focuses on the modelling, identification, analysis and design of automation systems; however, it also addresses the evaluation of their performance, efficiency and reliability. Other topics include fault-tolerant control in robotics, automated manufacturing, mechatronics and industrial systems. Moreover, it discusses data processing and transfer issues, covering a variety of methodologies, including model predictive, robust and adaptive techniques, as well as algebraic and geometric methods, and fractional order calculus approaches. The book also examines essential application areas, such as transportation and autonomous intelligent vehicle systems, robotic arms, mobile manipulators, cyber-physical systems, electric drives and both surface and underwater marine vessels. Lastly, it explores biological and medical applications of the control-theory-inspired methods.
Advances In Artificial Intelligence In Manufacturing
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Author : Achim Wagner
language : en
Publisher: Springer Nature
Release Date : 2024-06-26
Advances In Artificial Intelligence In Manufacturing written by Achim Wagner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-26 with Technology & Engineering categories.
This book reports on recent developments of artificial intelligence applications in the manufacturing industry. Gathering contributions to the first European Symposium on Artificial Intelligence in Manufacturing, held on September 19, 2023, in Kaiserslautern, Germany, it reports on machine learning models and algorithms for systems monitoring and industrial data management, on advances in human-robot collaboration, and on artificial intelligence applications in industrial control and process monitoring. Giving a special emphasis to the integration of artificial intelligence in manufacturing systems and processes, this book offers a timely and practice-oriented guide to a multidisciplinary audience of engineering researchers, software developers and industrial managers.
Time Discrete Method Of Lines For Options And Bonds The A Pde Approach
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Author : Gunter H Meyer
language : en
Publisher: World Scientific
Release Date : 2014-11-27
Time Discrete Method Of Lines For Options And Bonds The A Pde Approach written by Gunter H Meyer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-27 with Business & Economics categories.
Few financial mathematical books have discussed mathematically acceptable boundary conditions for the degenerate diffusion equations in finance. In The Time-Discrete Method of Lines for Options and Bonds, Gunter H Meyer examines PDE models for financial derivatives and shows where the Fichera theory requires the pricing equation at degenerate boundary points, and what modifications of it lead to acceptable tangential boundary conditions at non-degenerate points on computational boundaries when no financial data are available.Extensive numerical simulations are carried out with the method of lines to examine the influence of the finite computational domain and of the chosen boundary conditions on option and bond prices in one and two dimensions, reflecting multiple assets, stochastic volatility, jump diffusion and uncertain parameters. Special emphasis is given to early exercise boundaries, prices and their derivatives near expiration. Detailed graphs and tables are included which may serve as benchmark data for solutions found with competing numerical methods.
An Introduction To Applied Numerical Analysis
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Author : M Ali Hooshyar
language : en
Publisher: World Scientific
Release Date : 2024-12-27
An Introduction To Applied Numerical Analysis written by M Ali Hooshyar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-27 with Mathematics categories.
This book is based on lecture notes for a numerical analysis course designed mainly for senior undergraduate students majoring in mathematics, engineering, computer science and physical sciences.The book has two overarching goals. The first goal is to introduce different available numerical procedures for finding solutions to linear equations, roots of polynomial equations, interpolation and approximation, numerical differentiation and integration, differential equations, and error analysis. The second goal is to translate theory into practice through applying commonly used numerical methods in mathematics, physical sciences, biomedical sciences, and engineering.This book was crafted in an informal and user-friendly manner to motivate the study of the material being covered. Ample figures and numerical tables are presented to enhance the reader's ease of understanding of the material under consideration.
Rf Coaxial Slot Radiators Modeling Measurements And Applications
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Author : Kok Yeow You
language : en
Publisher: Artech House
Release Date : 2016-01-01
Rf Coaxial Slot Radiators Modeling Measurements And Applications written by Kok Yeow You and has been published by Artech House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-01 with Technology & Engineering categories.
This authoritative resource presents theoretical models of coaxial slot radiators. Numerical methods are used to present the solutions of those models, as well as focus on radiator applications, including measurements and calibration techniques. In each chapter, the experimental results are used to confirm the theoretical computer calculations. Both industry application aspects and academic theories and formulations are explored many with numerical calculations written in MATLAB code. In addition, this book contains many configurations and technical drawings providing the reader with more effective interpretation and explanation. This book provides easy to understand mathematical symbols, design guidelines, measurements, and applications for coaxial radiators suitable for both engineers and scientists.